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Finding the Fourth Proportional to 82,532.96, 113,896.80 and 44,807.20

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Solution

The fourth proportional to 82,532.96, 113,896.80 and 44,807.20 is: 61,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,532.96 : 113,896.80 = 44,807.20 : x
  2. Step 2: Convert to fraction form
    82,532.96/113,896.80 = 44,807.20/x
  3. Step 3: Cross multiply
    82,532.96x = 113,896.80 × 44,807.20
  4. Step 4: Simplify right side
    82,532.96x = 5,103,396,696.96
  5. Step 5: Solve for x
    x = 5,103,396,696.96/82,532.96
  6. Step 6: Final answer
    x = 61,834.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.